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Single Matrix Block Shift (SMBS) Dense Matrix Multiplication Algorithm
Many scientific and numeric computations rely on matrix-matrix multiplication as a fundamental component of their algorithms. It constitutes the...
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Block-wise dynamic mixed-precision for sparse matrix-vector multiplication on GPUs
Sparse matrix-vector multiplication (SpMV) plays a critical role in a wide range of linear algebra computations, particularly in scientific and...
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Exact inverse solution techniques for a class of complex valued block two-by-two linear systems
By taking a complex factorization of the Schur complement matrix into consideration, we present practical expressions for the inverses of a class of...
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Image parallel block compressive sensing scheme using DFT measurement matrix
Compressive sensing (CS)-based image coding has been widely studied in the field of image processing. However, the CS-based image encoder has a...
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A posteriori error bounds for the block-Lanczos method for matrix function approximation
We extend the error bounds from Chen et al. ( SIAM J. Matrix Anal. Appl 43(2):787–811,
2022 ) for the Lanczos method for matrix function approximation...
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A modified column block Toeplitz matrix for compressed sensing
In block-sparse-based compressed sensing, a block of indices is recovered from a non-adaptive random sample, which requires less computational time....
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On the generalized AOR and CG iteration methods for a class of block two-by-two linear systems
In this work, we utilize the generalized AOR (GAOR) and CG (GCG) methods for constructing iteration methods to solve the block two-by-two linear...
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Randomized block Krylov subspace algorithms for low-rank quaternion matrix approximations
A randomized quaternion singular value decomposition algorithm based on block Krylov iteration (RQSVD-BKI) is presented to solve the low-rank...
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Self-dual codes from a block matrix construction characterised by group rings
We give a new technique for constructing self-dual codes based on a block matrix whose blocks arise from group rings and orthogonal matrices. The...
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Matrix-product neural network based on sequence block matrix product
Convolution neural networks (CNNs) based on the discrete convolutional operation have achieved great success in image processing, voice and audio...
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Medical images encryption using two improved Vigenère laps separated by genetic crossover
This paper presents a new method for encrypting medical images based on an improvement of the classical Vigenère technique. This new approach employs...
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Symmetric nonnegative matrix factorization with elastic-net regularized block-wise weighted representation for clustering
In unsupervised learning, symmetric nonnegative matrix factorization (NMF) has proven its efficacy for various clustering tasks in recent years,...
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Modulus-based block triangular splitting iteration method for solving the generalized absolute value equations
In this paper, we focus on solving the generalized absolute value equations (GAVE). We present a new method named as modulus-based block triangular...
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Flexible deterministic compressive measurement matrix based on two finite fields
The rapid development of information technology puts forward new demands for signal sampling technology. Compressed sensing is a novel signal...
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FUTURE: A Lightweight Block Cipher Using an Optimal Diffusion Matrix
In this work, we present FUTURE, a new 64-bit lightweight SPN-based block cipher. FUTURE encrypts data in a single clock cycle with a very low...
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Multiple kernel k-means clustering with block diagonal property
Multiple kernel k -means clustering (MKKC) is proposed to efficiently incorporate multiple base kernels to generate an optimal kernel. However, many...
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Generating a full spherical view by modeling the relation between two fisheye images
Full spherical views provide advantages in many applications that use visual information. Dual back-to-back fisheye cameras are receiving much...
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Latent Block Regression Model
When dealing with high dimensional sparse data, such as in recommender systems,co-clusteringturnsouttobemorebeneficialthanone-sidedclustering,even if...